Distributed parameter optimal structural design: some basic problem formulations and their applications

摘要: As a part of the broad development that has taken place in field structural optimization recent years, analytical modelling for design continuum structures been extended to cover variety new applications. Thus there are formulations available now with respect various modes response or measures performance, most types form, be optimal relative material distribution, shape, choice materials, prestress, and so on. Only modest out comprehensive list topics is covered these lectures. The reader will find good many major areas application e.g., ‘design dynamic response,’ ‘shape design’, ‘grid optimization,’ ‘sensitivity analysis’ — name few, treated separate lectures given elsewhere within institute. (Citations other this collection identified by authors an asterisk attached it.) Our effort directed more toward exposition methods interpretation problems into form convenient analysis. This done mainly perspective well known results from mathematics optimization. presented here comprised formal problem statements, listings necessary conditions, presentation example